968463306720 has 1440 divisors, whose sum is σ = 4343079964608. Its totient is φ = 201410592768.

The previous prime is 968463306653. The next prime is 968463306763. The reversal of 968463306720 is 27603364869.

968463306720 is a `hidden beast` number, since 96 + 8 + 463 + 30 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 602652157 + ... + 602653763.

Almost surely, 2^968463306720 is an apocalyptic number.

968463306720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968463306720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171539982304).

968463306720 is an abundant number, since it is smaller than the sum of its proper divisors (3374616657888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

968463306720 is a wasteful number, since it uses less digits than its factorization.

968463306720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 968463306720 in words is "nine hundred sixty-eight billion, four hundred sixty-three million, three hundred six thousand, seven hundred twenty".